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Finding the Fourth Proportional to 1,603.08, 2,209.86 and 981

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Solution

The fourth proportional to 1,603.08, 2,209.86 and 981 is: 1,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.08 : 2,209.86 = 981 : x
  2. Step 2: Convert to fraction form
    1,603.08/2,209.86 = 981/x
  3. Step 3: Cross multiply
    1,603.08x = 2,209.86 × 981
  4. Step 4: Simplify right side
    1,603.08x = 2,167,872.66
  5. Step 5: Solve for x
    x = 2,167,872.66/1,603.08
  6. Step 6: Final answer
    x = 1,352.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.